Distinguished representations of strictly positive polynomials (Q2706832)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: Distinguished representations of strictly positive polynomials |
scientific article
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Distinguished representations of strictly positive polynomials |
scientific article |
Statements
Distinguished representations of strictly positive polynomials (English)
0 references
5 December 2001
0 references
basic semialgebraic set
0 references
moment problems
0 references
quadratic form
0 references
Schmüdgen's representation theorem
0 references
The authors investigate the famous Schmüdgen's representation theorem [\textit{K. Schmüdgen}, Math. Ann. 289, No.~2, 203-206 (1991; Zbl 0744.44008)]. As a consequence of the characterisation theorem (theorem 3.2 in the paper) they detect the ``gap'' between Schmüdgen's representation and another one given by \textit{M. Putinar} [Indiana Univ. Math. J. 42, No.~3, 969-984 (1993; Zbl 0796.12002)]. The authors give an example showing that their characterisation theorem implies the best possible representation.
0 references
